{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 2: Synapse Models\n",
    "\n",
    "In this tutorial, you'll learn:\n",
    "\n",
    "- What synapses do in neural networks\n",
    "- Different synapse models (Expon, Alpha, AMPA, GABAa)\n",
    "- How to compare synapse dynamics\n",
    "- When to use each synapse type\n",
    "- How to create custom synapses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import brainpy\n",
    "import brainstate\n",
    "import brainunit as u\n",
    "import braintools\n",
    "import matplotlib.pyplot as plt\n",
    "import jax.numpy as jnp\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 1: Understanding Synapses\n",
    "\n",
    "Synapses perform **temporal filtering** of spike trains:\n",
    "\n",
    "```\n",
    "Discrete Spikes → [Synapse] → Continuous Signal\n",
    "```\n",
    "\n",
    "They model:\n",
    "- Postsynaptic potentials (PSPs)\n",
    "- Rise and decay kinetics\n",
    "- Neurotransmitter dynamics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 2: Exponential Synapse (Expon)\n",
    "\n",
    "The simplest model: single exponential decay.\n",
    "\n",
    "$$\\tau \\frac{dg}{dt} = -g$$\n",
    "\n",
    "When spike arrives: $g \\leftarrow g + 1$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Created Expon synapse with tau=5.0 * msecond\n"
     ]
    }
   ],
   "source": [
    "# Set time step\n",
    "brainstate.environ.set(dt=0.1 * u.ms)\n",
    "\n",
    "# Create exponential synapse\n",
    "expon_syn = brainpy.state.Expon(\n",
    "    in_size=1,\n",
    "    tau=5. * u.ms,\n",
    "    g_initializer=braintools.init.Constant(0. * u.mS)\n",
    ")\n",
    "\n",
    "# Initialize\n",
    "brainstate.nn.init_all_states(expon_syn)\n",
    "\n",
    "print(f\"Created Expon synapse with tau={expon_syn.tau}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulate response to single spike\n",
    "brainstate.nn.init_all_states(expon_syn)\n",
    "\n",
    "duration = 50. * u.ms\n",
    "dt = brainstate.environ.get_dt()\n",
    "times = u.math.arange(0. * u.ms, duration, dt)\n",
    "\n",
    "responses = []\n",
    "for i, t in enumerate(times):\n",
    "    # Spike at t=0\n",
    "    # spike = 1.0 if i == 0 else 0.0\n",
    "    # expon_syn(jnp.array([spike]))\n",
    "    spike = 1.0 * u.mS if i == 0 else 0.0 * u.mS\n",
    "    expon_syn(u.math.asarray([spike]))\n",
    "    responses.append(expon_syn.g.value[0])\n",
    "\n",
    "responses = u.math.asarray(responses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Observation: Instantaneous rise, exponential decay\n"
     ]
    }
   ],
   "source": [
    "# Plot response\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(times.to_decimal(u.ms), responses.to_decimal(u.mS), linewidth=2, label='Expon')\n",
    "plt.axvline(x=0, color='r', linestyle='--', alpha=0.5, label='Spike time')\n",
    "plt.xlabel('Time (ms)')\n",
    "plt.ylabel('Synaptic Variable g (mS)')\n",
    "plt.title('Exponential Synapse Response to Single Spike')\n",
    "plt.legend()\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Observation: Instantaneous rise, exponential decay\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 3: Alpha Synapse\n",
    "\n",
    "More realistic: gradual rise and decay.\n",
    "\n",
    "$$\\tau \\frac{dh}{dt} = -h$$\n",
    "$$\\tau \\frac{dg}{dt} = -g + h$$\n",
    "\n",
    "Response: $g(t) = \\frac{t}{\\tau} e^{-t/\\tau}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create alpha synapse\n",
    "alpha_syn = brainpy.state.Alpha(\n",
    "    in_size=1,\n",
    "    tau=5. * u.ms,\n",
    "    g_initializer=braintools.init.Constant(0. * u.mS)\n",
    ")\n",
    "\n",
    "brainstate.nn.init_all_states(alpha_syn)\n",
    "\n",
    "# Simulate\n",
    "alpha_responses = []\n",
    "for i, t in enumerate(times):\n",
    "    spike = 1.0 * u.mS if i == 0 else 0.0 * u.mS\n",
    "    alpha_syn(u.math.asarray([spike]))\n",
    "    alpha_responses.append(alpha_syn.g.value[0])\n",
    "\n",
    "alpha_responses = u.math.asarray(alpha_responses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Key difference: Alpha has realistic rise time, peak at t=τ\n"
     ]
    }
   ],
   "source": [
    "# Compare Expon vs Alpha\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(times.to_decimal(u.ms), responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='Expon (instantaneous rise)', color='blue')\n",
    "plt.plot(times.to_decimal(u.ms), alpha_responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='Alpha (gradual rise)', color='orange')\n",
    "plt.axvline(x=0, color='r', linestyle='--', alpha=0.5, label='Spike time')\n",
    "plt.xlabel('Time (ms)')\n",
    "plt.ylabel('Synaptic Variable g (mS)')\n",
    "plt.title('Comparison: Exponential vs Alpha Synapse')\n",
    "plt.legend()\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Key difference: Alpha has realistic rise time, peak at t=τ\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 4: AMPA and GABAa Synapses\n",
    "\n",
    "Biologically parameterized models:\n",
    "\n",
    "- **AMPA**: Fast excitatory (τ ≈ 2 ms)\n",
    "- **GABAa**: Slower inhibitory (τ ≈ 10 ms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AMPA tau: 2.0 * msecond (fast)\n",
      "GABAa tau: 1.0 * mmolar (slow)\n"
     ]
    }
   ],
   "source": [
    "# Create AMPA synapse (fast excitatory)\n",
    "ampa_syn = brainpy.state.AMPA(\n",
    "    in_size=1,\n",
    "    T=2. * u.ms,\n",
    "    g_initializer=braintools.init.Constant(0. * u.mS)\n",
    ")\n",
    "\n",
    "# Create GABAa synapse (slower inhibitory)\n",
    "gaba_syn = brainpy.state.GABAa(\n",
    "    in_size=1,\n",
    "    T_dur=10. * u.ms,\n",
    "    g_initializer=braintools.init.Constant(0. * u.mS)\n",
    ")\n",
    "\n",
    "brainstate.nn.init_all_states(ampa_syn)\n",
    "brainstate.nn.init_all_states(gaba_syn)\n",
    "\n",
    "print(f\"AMPA tau: {ampa_syn.T} (fast)\")\n",
    "print(f\"GABAa tau: {gaba_syn.T} (slow)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulate both\n",
    "ampa_responses = []\n",
    "gaba_responses = []\n",
    "\n",
    "for i, t in enumerate(times):\n",
    "    spike = 1.0 if i == 0 else 0.0\n",
    "    ampa_syn(jnp.array([spike]))\n",
    "    gaba_syn(jnp.array([spike]))\n",
    "    ampa_responses.append(ampa_syn.g.value[0])\n",
    "    gaba_responses.append(gaba_syn.g.value[0])\n",
    "\n",
    "ampa_responses = u.math.asarray(ampa_responses)\n",
    "gaba_responses = u.math.asarray(gaba_responses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot all four synapse types\n",
    "plt.figure(figsize=(12, 6))\n",
    "\n",
    "plt.plot(times.to_decimal(u.ms), responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='Expon (τ=5ms)', alpha=0.7)\n",
    "plt.plot(times.to_decimal(u.ms), alpha_responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='Alpha (τ=5ms)', alpha=0.7)\n",
    "plt.plot(times.to_decimal(u.ms), ampa_responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='AMPA (τ=2ms, fast excitatory)', linestyle='--')\n",
    "plt.plot(times.to_decimal(u.ms), gaba_responses.to_decimal(u.mS), \n",
    "         linewidth=2, label='GABAa (τ=10ms, slow inhibitory)', linestyle='--')\n",
    "\n",
    "plt.axvline(x=0, color='r', linestyle=':', alpha=0.5, label='Spike time')\n",
    "plt.xlabel('Time (ms)', fontsize=12)\n",
    "plt.ylabel('Synaptic Variable g (mS)', fontsize=12)\n",
    "plt.title('Comparison of All Synapse Models', fontsize=14)\n",
    "plt.legend(loc='upper right')\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"\\nObservations:\")\n",
    "print(\"- AMPA: Fastest decay (excitatory transmission)\")\n",
    "print(\"- GABAa: Slowest decay (prolonged inhibition)\")\n",
    "print(\"- Alpha models have realistic rise time\")\n",
    "print(\"- Expon models are computationally faster\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 5: Response to Spike Trains\n",
    "\n",
    "How do synapses integrate multiple spikes?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create spike train: 5 spikes at 50 Hz (20ms intervals)\n",
    "brainstate.nn.init_all_states(expon_syn)\n",
    "brainstate.nn.init_all_states(alpha_syn)\n",
    "\n",
    "duration = 150. * u.ms\n",
    "times = u.math.arange(0. * u.ms, duration, dt)\n",
    "spike_times = [0, 20, 40, 60, 80]  # ms\n",
    "\n",
    "expon_train_resp = []\n",
    "alpha_train_resp = []\n",
    "\n",
    "for i, t in enumerate(times):\n",
    "    t_ms = t.to_decimal(u.ms)\n",
    "    spike = 1.0 *u.mS if any(abs(t_ms - st) < 0.1 for st in spike_times) else 0.0 *u.mS\n",
    "    \n",
    "    expon_syn(u.math.asarray([spike]))\n",
    "    alpha_syn(u.math.asarray([spike]))\n",
    "    \n",
    "    expon_train_resp.append(expon_syn.g.value[0])\n",
    "    alpha_train_resp.append(alpha_syn.g.value[0])\n",
    "\n",
    "expon_train_resp = u.math.asarray(expon_train_resp)\n",
    "alpha_train_resp = u.math.asarray(alpha_train_resp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Temporal summation: synaptic responses accumulate over time\n"
     ]
    }
   ],
   "source": [
    "# Plot spike train responses\n",
    "fig, axes = plt.subplots(2, 1, figsize=(12, 8), sharex=True)\n",
    "\n",
    "# Expon response\n",
    "axes[0].plot(times.to_decimal(u.ms), expon_train_resp.to_decimal(u.mS), \n",
    "             linewidth=2, color='blue')\n",
    "for st in spike_times:\n",
    "    axes[0].axvline(x=st, color='r', linestyle='--', alpha=0.3)\n",
    "axes[0].set_ylabel('g (mS)')\n",
    "axes[0].set_title('Exponential Synapse Response to Spike Train (50 Hz)')\n",
    "axes[0].grid(True, alpha=0.3)\n",
    "\n",
    "# Alpha response\n",
    "axes[1].plot(times.to_decimal(u.ms), alpha_train_resp.to_decimal(u.mS), \n",
    "             linewidth=2, color='orange')\n",
    "for st in spike_times:\n",
    "    axes[1].axvline(x=st, color='r', linestyle='--', alpha=0.3, label='Spike' if st == 0 else '')\n",
    "axes[1].set_ylabel('g (mS)')\n",
    "axes[1].set_xlabel('Time (ms)')\n",
    "axes[1].set_title('Alpha Synapse Response to Spike Train (50 Hz)')\n",
    "axes[1].legend()\n",
    "axes[1].grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Temporal summation: synaptic responses accumulate over time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 6: Effect of Time Constant\n",
    "\n",
    "How does τ affect synapse dynamics?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compare different time constants\n",
    "taus = [2*u.ms, 5*u.ms, 10*u.ms, 20*u.ms]\n",
    "synapses = [brainpy.state.Expon(1, tau=tau) for tau in taus]\n",
    "\n",
    "for syn in synapses:\n",
    "    brainstate.nn.init_all_states(syn)\n",
    "\n",
    "# Simulate\n",
    "duration = 100. * u.ms\n",
    "times = u.math.arange(0. * u.ms, duration, dt)\n",
    "\n",
    "responses_by_tau = {}\n",
    "for tau, syn in zip(taus, synapses):\n",
    "    resp = []\n",
    "    for i, t in enumerate(times):\n",
    "        spike = 1.0 * u.mS if i == 0 else 0.0 * u.mS\n",
    "        syn(u.math.asarray([spike]))\n",
    "        resp.append(syn.g.value[0])\n",
    "    responses_by_tau[tau] = u.math.asarray(resp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Effect of τ:\n",
      "- Smaller τ → faster decay, less temporal summation\n",
      "- Larger τ → slower decay, more temporal summation\n",
      "- Choose τ based on biological constraints and computational needs\n"
     ]
    }
   ],
   "source": [
    "# Plot effect of tau\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "colors = plt.cm.viridis(np.linspace(0, 1, len(taus)))\n",
    "for (tau, resp), color in zip(responses_by_tau.items(), colors):\n",
    "    plt.plot(times.to_decimal(u.ms), resp.to_decimal(u.mS), \n",
    "             linewidth=2, label=f'τ = {tau}', color=color)\n",
    "\n",
    "plt.axvline(x=0, color='r', linestyle='--', alpha=0.3, label='Spike')\n",
    "plt.xlabel('Time (ms)', fontsize=12)\n",
    "plt.ylabel('Synaptic Variable g (mS)', fontsize=12)\n",
    "plt.title('Effect of Time Constant on Synapse Decay', fontsize=14)\n",
    "plt.legend(fontsize=10)\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"\\nEffect of τ:\")\n",
    "print(\"- Smaller τ → faster decay, less temporal summation\")\n",
    "print(\"- Larger τ → slower decay, more temporal summation\")\n",
    "print(\"- Choose τ based on biological constraints and computational needs\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 7: Synapses in Networks (Preview)\n",
    "\n",
    "Synapses are used within projections. Here's a preview:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Synapse integrated into projection!\n",
      "Synapse type: Expon\n",
      "Synapse tau: 5.0 * msecond\n",
      "\n",
      "See Tutorial 3 for complete network building!\n"
     ]
    }
   ],
   "source": [
    "# Create neurons\n",
    "pre_neurons = brainpy.state.LIF(10, V_rest=-65.*u.mV, V_th=-50.*u.mV, tau=10.*u.ms)\n",
    "post_neurons = brainpy.state.LIF(5, V_rest=-65.*u.mV, V_th=-50.*u.mV, tau=10.*u.ms)\n",
    "\n",
    "# Create projection with exponential synapse\n",
    "projection = brainpy.state.AlignPostProj(\n",
    "    comm=brainstate.nn.EventFixedProb(\n",
    "        10, 5, 0.5, 0.5*u.mS\n",
    "    ),\n",
    "    syn=brainpy.state.Expon.desc(5, tau=5.*u.ms),  # Synapse descriptor\n",
    "    out=brainpy.state.CUBA.desc(),\n",
    "    post=post_neurons\n",
    ")\n",
    "\n",
    "print(\"Synapse integrated into projection!\")\n",
    "print(f\"Synapse type: {type(projection.syn).__name__}\")\n",
    "print(f\"Synapse tau: {projection.syn.tau}\")\n",
    "print(\"\\nSee Tutorial 3 for complete network building!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 8: When to Use Each Synapse Type\n",
    "\n",
    "### Decision Guide\n",
    "\n",
    "**Use Expon when:**\n",
    "- Speed is critical\n",
    "- Training SNNs\n",
    "- Large-scale simulations\n",
    "- Precise kinetics not needed\n",
    "\n",
    "**Use Alpha when:**\n",
    "- Biological realism matters\n",
    "- Detailed cortical models\n",
    "- Comparing to experimental data\n",
    "- Rise time is important\n",
    "\n",
    "**Use AMPA when:**\n",
    "- Excitatory synapses\n",
    "- Fast glutamatergic transmission\n",
    "- Cortical excitatory neurons\n",
    "\n",
    "**Use GABAa when:**\n",
    "- Inhibitory synapses\n",
    "- GABAergic interneurons\n",
    "- Slower inhibition needed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Part 9: Creating Custom Synapses\n",
    "\n",
    "You can create custom synapse models:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Custom synapse created!\n",
      "Rise time: 1.0 * msecond\n",
      "Decay time: 10.0 * msecond\n"
     ]
    }
   ],
   "source": [
    "from brainpy.state import Synapse\n",
    "\n",
    "class DoubleExpSynapse(Synapse):\n",
    "    \"\"\"Synapse with different rise and decay time constants.\"\"\"\n",
    "    \n",
    "    def __init__(self, size, tau_rise, tau_decay, **kwargs):\n",
    "        super().__init__(size, **kwargs)\n",
    "        \n",
    "        self.tau_rise = tau_rise\n",
    "        self.tau_decay = tau_decay\n",
    "        \n",
    "        # Two state variables\n",
    "        self.h = brainstate.ShortTermState(\n",
    "            braintools.init.Constant(0., unit=u.mS)(size)\n",
    "        )\n",
    "        self.g = brainstate.ShortTermState(\n",
    "            braintools.init.Constant(0., unit=u.mS)(size)\n",
    "        )\n",
    "    \n",
    "    def update(self, spike_input):\n",
    "        dt = brainstate.environ.get_dt()\n",
    "        \n",
    "        # Rise dynamics\n",
    "        dh = -self.h.value / self.tau_rise\n",
    "        self.h.value = self.h.value + dh * dt + spike_input * u.mS\n",
    "        \n",
    "        # Decay dynamics\n",
    "        dg = -self.g.value / self.tau_decay + self.h.value / self.tau_rise\n",
    "        self.g.value = self.g.value + dg * dt\n",
    "        \n",
    "        return self.g.value\n",
    "    \n",
    "    @classmethod\n",
    "    def desc(cls, size, tau_rise, tau_decay, **kwargs):\n",
    "        def create():\n",
    "            return cls(size, tau_rise, tau_decay, **kwargs)\n",
    "        return create\n",
    "\n",
    "# Test custom synapse\n",
    "custom_syn = DoubleExpSynapse(\n",
    "    size=1, \n",
    "    tau_rise=1.*u.ms, \n",
    "    tau_decay=10.*u.ms\n",
    ")\n",
    "brainstate.nn.init_all_states(custom_syn)\n",
    "\n",
    "print(\"Custom synapse created!\")\n",
    "print(f\"Rise time: {custom_syn.tau_rise}\")\n",
    "print(f\"Decay time: {custom_syn.tau_decay}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Custom synapse shows fast rise (1ms) and slow decay (10ms)\n"
     ]
    }
   ],
   "source": [
    "# Test custom synapse\n",
    "custom_resp = []\n",
    "duration = 50. * u.ms\n",
    "times = u.math.arange(0. * u.ms, duration, dt)\n",
    "\n",
    "for i, t in enumerate(times):\n",
    "    spike = 1.0 if i == 0 else 0.0\n",
    "    custom_syn(jnp.array([spike]))\n",
    "    custom_resp.append(custom_syn.g.value[0])\n",
    "\n",
    "custom_resp = u.math.asarray(custom_resp)\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(times.to_decimal(u.ms), custom_resp.to_decimal(u.mS), linewidth=2)\n",
    "plt.axvline(x=0, color='r', linestyle='--', alpha=0.5, label='Spike')\n",
    "plt.xlabel('Time (ms)')\n",
    "plt.ylabel('g (mS)')\n",
    "plt.title('Custom Double-Exponential Synapse (τ_rise=1ms, τ_decay=10ms)')\n",
    "plt.legend()\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Custom synapse shows fast rise (1ms) and slow decay (10ms)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "In this tutorial, you learned:\n",
    "\n",
    "✅ How synapses perform temporal filtering\n",
    "\n",
    "✅ Four synapse models: Expon, Alpha, AMPA, GABAa\n",
    "\n",
    "✅ Differences in rise time and decay kinetics\n",
    "\n",
    "✅ Response to single spikes and spike trains\n",
    "\n",
    "✅ Effect of time constant τ\n",
    "\n",
    "✅ When to use each synapse type\n",
    "\n",
    "✅ How to create custom synapses\n",
    "\n",
    "## Next Steps\n",
    "\n",
    "- **Tutorial 3**: Learn to [build connected networks](03-network-connections.ipynb)\n",
    "- **Core Concepts**: Read detailed [synapse documentation](../../core-concepts/synapses.rst)\n",
    "- **Examples**: See synapses in action in the [examples gallery](../../examples/gallery.rst)\n",
    "\n",
    "## Exercises\n",
    "\n",
    "Try these on your own:\n",
    "\n",
    "1. Compare AMPA vs GABAa responses to a 100 Hz spike train\n",
    "2. Find the τ value where peak response to a 50 Hz train is maximized\n",
    "3. Implement an NMDA synapse (voltage-dependent)\n",
    "4. Create a synapse with adaptation (decrease response over time)"
   ]
  }
 ],
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